Weakly imposed slip conditions in Navier-Stokes, analysis and turbulence modeling
Please login to view abstract download link
The scope of this talk is two-fold. On one hand, we will talk about the a-priori analysis for the weak imposition of slip boundary conditions for the stationary Navier-Stokes equations using Nitsche’s trick. The analysis is done using standard approaches for dealing with these equations, together with adequate inverse estimates for handling the penalization terms. On the other hand, we will show how subgrid scales can be modeled with the VMS-LES scheme within the described setting, where some additional boundary terms appear within the stabilization blocks. We present several numerical tests that validate our theoretical findings, in addition to high-Reynolds simulations with lowest order finite elements to test the VMS-LES scheme in the Nitsche context. The work presented is based on the work developed in [1]. [1] A Bansal, N Barnafi, D Pandey. Nitsche method for Navier–Stokes equations with slip boundary conditions: convergence analysis and VMS-LES stabilization. ESAIM: M2AN, 2024.